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256650241 = 1737616689
BaseRepresentation
bin11110100110000…
…10110000000001
3122212221011221111
433103002300001
51011200301431
641244523321
76234330301
oct1723026001
9585834844
10256650241
11121966141
1271b50541
1341230663
142612b601
15177e97b1
hexf4c2c01

256650241 has 16 divisors (see below), whose sum is σ = 283709520. Its totient is φ = 231137280.

The previous prime is 256650211. The next prime is 256650257. The reversal of 256650241 is 142056652.

It can be written as a sum of positive squares in 8 ways, for example, as 16524225 + 240126016 = 4065^2 + 15496^2 .

It is a cyclic number.

It is not a de Polignac number, because 256650241 - 213 = 256642049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256650211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35025 + ... + 41713.

It is an arithmetic number, because the mean of its divisors is an integer number (17731845).

Almost surely, 2256650241 is an apocalyptic number.

It is an amenable number.

256650241 is a deficient number, since it is larger than the sum of its proper divisors (27059279).

256650241 is a wasteful number, since it uses less digits than its factorization.

256650241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804.

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 256650241 is about 16020.3071443715. The cubic root of 256650241 is about 635.4975669089.

The spelling of 256650241 in words is "two hundred fifty-six million, six hundred fifty thousand, two hundred forty-one".

Divisors: 1 17 37 61 629 1037 2257 6689 38369 113713 247493 408029 4207381 6936493 15097073 256650241